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Finding the Fourth Proportional to 169,276.50, 233,601.61 and 93,825

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Solution

The fourth proportional to 169,276.50, 233,601.61 and 93,825 is: 129,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,276.50 : 233,601.61 = 93,825 : x
  2. Step 2: Convert to fraction form
    169,276.50/233,601.61 = 93,825/x
  3. Step 3: Cross multiply
    169,276.50x = 233,601.61 × 93,825
  4. Step 4: Simplify right side
    169,276.50x = 21,917,670,589.13
  5. Step 5: Solve for x
    x = 21,917,670,589.13/169,276.50
  6. Step 6: Final answer
    x = 129,478.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.